Finding the Fourth Proportional to 827,138.70, 1,240,708.05 and 295,260.30
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Solution
The fourth proportional to 827,138.70, 1,240,708.05 and 295,260.30 is: 442,890.45
Step by Step Solution
- Step 1: Write the proportion equation
827,138.70 : 1,240,708.05 = 295,260.30 : x - Step 2: Convert to fraction form
827,138.70/1,240,708.05 = 295,260.30/x - Step 3: Cross multiply
827,138.70x = 1,240,708.05 × 295,260.30 - Step 4: Simplify right side
827,138.70x = 366,331,831,055.42 - Step 5: Solve for x
x = 366,331,831,055.42/827,138.70 - Step 6: Final answer
x = 442,890.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.